- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 69 Issue: 1
- Asymptotic behaviour of resonance eigenvalues of the Schrödinger operator with a matrix potential
Asymptotic behaviour of resonance eigenvalues of the Schrödinger operator with a matrix potential
Authors : Setenay Akduman, Sedef Karakiliç, Didem Coşkan
Pages : 486-510
Doi:10.31801/cfsuasmas.577438
View : 6 | Download : 5
Publication Date : 2020-06-30
Article Type : Research
Abstract :We will discuss the asymptotic behaviour of the eigenvalues of a Schrödinger operator with a matrix potential defined by the Neumann boundary condition in L₂^{m}(F), where F is a d-dimensional rectangle and the potential is an m×m matrix with m≥2, d≥2 , when the eigenvalues belong to the resonance domain, roughly speaking they lie near the planes of diffraction.Keywords : Schrödinger operator, Neumann condition, Resonance eigenvalue, Perturbation theory